Previous research has highlighted the importance of social relationships in mathematical group work while working on modelling activities. This study analyses the interaction of sixth-grade students in Primary Education (11 to 12 years old) carrying out a modelling task in groups with a Fermi problem used as the modelling activity. The focus of…

The social relations model (SRM) is a mathematical model that can be used to analyze interpersonal judgment and behavior data. Typically, the SRM is applied to one (i.e., univariate SRM) or two variables (i.e., bivariate SRM), and parameter estimates are obtained by employing an analysis of variance method. Here, we present an extension of the SRM…

This article documents the classroom mathematical practices observed in a collegiate level teacher education course related to the circle topic. The course, which was prepared as design research, utilized a dynamic geometry environment which influenced the type and nature of the evolved mathematical practices. The study uses emergent perspective…

Affect Control Theory (ACT; Heise 1979, 2007) states that people control social interactions by striving to maintain culturally shared feelings about the situation. The theory is based on mathematical models of language-based impression formation. In a laboratory experiment, we tested the predictive power of a new German-language ACT model with…

This paper presents and tests a general model to predict emergent exchange patterns and power differences in reciprocal exchange networks when individual actors follow the norm of reciprocity. With an interesting qualification, the experimental results reported here support the power-dependence approach (Emerson 1972a, b): those who acquire the…

Contrary to assumptions of the supergame model, agents in exchange situations will normally not be perfectly informed about past behavior of their partners. Moreover, they will generally be in a position to choose their partners. The formal model of this article, reputation formation, attempts to take account of these facts. (JBJ)

Suggests that ordinal and ratio criteria for equity are independent of one another, but that a plausible mathematical definition of equity must satisfy both criteria under all outcome/input ratio situations. Demonstrates that a modification of the Harris linear formula for equity meets these criteria. (Author/RD)

Presents a general mathematical model of the diffusion of innovations that incorporates mass media and interpersonal influence. Suggests that policymakers can use diffusion models to evaluate the effectiveness of media versus interpersonal campaigns, make comparisons between subgroups, and evaluate the effect of a policy. (RS)

The interactions of 10-month-old infants and their mothers were observed using mathematical models of interaction which state that the child's behavior depends on recent characteristics of mother's behavior, and that the mother's behavior depends on recent characteristics of the child's. Therefore, changes in the intensity of the behavior of one…

A new method, based on loglinear models, is proposed for statistical analysis of dyadic social interaction data measured over time. The data are assumed to be realizations of a social network of a fixed set of actors interacting on a single relation. Associative and predictive statistical models are developed. (TJH)

The problem of comparing two sociometric matrices, as originally discussed by Katz and Powell in the early 1950's, is reconsidered and generalized using a different inference model. In particular, the proposed indices of conformity are justified by a regression argument similar to the one used by Somers. ( Author/JKS)

The purpose of this article is to describe findings from a study of teachers' social interaction during discussions about students' thinking. The goal of the discussions was for the teachers to interpret their students' thinking as revealed from work on non-routine, thought-revealing mathematical tasks, known as "model-eliciting…

This paper addresses the developments of a class of fifth-grade children as they worked modeling problems during the first year of a 3-year longitudinal study. In contrast to usual classroom problems where students find a brief answer to a particular question, modeling activities involve students in authentic case studies that require them to…

Social network analysis (SNA) uses indices of relatedness among individuals to produce representations of social structures and positions inherent in dyads or groups. SNA methods provide quantitative representations of ongoing transactional patterns in a given social environment. Methodological issues, applications and resources are discussed…

This submission contains the Proceedings of the 2010 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Simon Fraser University in Burnaby, British Columbia. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims…